College

Practice Set 8.3

1. Measures of opposite angles of a parallelogram are \( (3x - 2)^\circ \) and \( (50 - x)^\circ \). Find the measure of each angle.

Answer :

Final answer:

The measure of each angle of the parallelogram is 37 degrees.


Explanation:

Let's set up an equation to find the value of x.

Opposite angles of a parallelogram are congruent, so we can set up the equation:

(3x-2) = (50-x)

Now, solve for x: 4x = 52

x = 13

Now, substitute the value of x into one of the expressions for the angles:

(3(13)-2) = 37

Therefore, the measure of each angle of the parallelogram is 37 degrees.


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